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5a^2+19a-68=0
a = 5; b = 19; c = -68;
Δ = b2-4ac
Δ = 192-4·5·(-68)
Δ = 1721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(19)-\sqrt{1721}}{2*5}=\frac{-19-\sqrt{1721}}{10} $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19)+\sqrt{1721}}{2*5}=\frac{-19+\sqrt{1721}}{10} $
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